THE 2-DIMENSIONAL EUCLIDEAN QUANTUM ALGEBRA AT ROOTS OF UNITY

被引：2

作者：

CICCOLI, N ^{[1
]}

GIACHETTI, R ^{[1
]}

机构：

[1] IST NAZL FIS NUCL, SEZ FIRENZE, I-50125 FLORENCE, ITALY

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1995年 / 34卷 / 01期

关键词：

D O I：

10.1007/BF00739373

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The two-dimensional Euclidean quantum algebra is considered at roots of unity. The algebraic properties and the Poisson-Hopf structure are first investigated. We then determine the irreducible representations and study the reduction of the tenser product of two of them.

引用

页码：37 / 48

页数：12

共 17 条

[11]

MCCONNELL JC, 1987, NONCOMMUTATIRE NOETH

[12] INVARIANTS OF 3-MANIFOLDS VIA LINK POLYNOMIALS AND QUANTUM GROUPS [J].

RESHETIKHIN, N ;

TURAEV, VG .

INVENTIONES MATHEMATICAE, 1991, 103 (03) :547-597

[13] IRREDUCIBLE REPRESENTATIONS OF THE QUANTUM ANALOG OF SU(2) [J].

ROCHE, P ;

ARNAUDON, D .

LETTERS IN MATHEMATICAL PHYSICS, 1989, 17 (04) :295-300

[14]

VAKSMAN LL, 1989, SOV MATH DOKL, V39, P173

[15] QUANTUM SU(2) AND E(2) GROUPS - CONTRACTION PROCEDURE [J].

WORONOWICZ, SL .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 149 (03) :637-652

[16] QUANTUM-E(2) GROUP AND ITS PONTRYAGIN DUAL [J].

WORONOWICZ, SL .

LETTERS IN MATHEMATICAL PHYSICS, 1991, 23 (04) :251-263

[17] OPERATOR EQUALITIES RELATED TO THE QUANTUM E(2) GROUP [J].

WORONOWICZ, SL .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 144 (02) :417-428

← 1 2 →